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Finding the Fourth Proportional to 4,129.63, 5,698.85 and 2,241.21

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Solution

The fourth proportional to 4,129.63, 5,698.85 and 2,241.21 is: 3,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.63 : 5,698.85 = 2,241.21 : x
  2. Step 2: Convert to fraction form
    4,129.63/5,698.85 = 2,241.21/x
  3. Step 3: Cross multiply
    4,129.63x = 5,698.85 × 2,241.21
  4. Step 4: Simplify right side
    4,129.63x = 12,772,319.61
  5. Step 5: Solve for x
    x = 12,772,319.61/4,129.63
  6. Step 6: Final answer
    x = 3,092.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.